Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces (Memoirs of the American Mathematical Society) - Softcover

Ferreira, David Dos Santos; Staubach, Wolfgang

 
9780821891193: Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821891197 ISBN 13: 9780821891193
Publisher: Amer Mathematical Society, 2014

Synopsis

The authors investigate the global continuity on L p spaces with p∈[1,∞] of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global L 2 boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in S m ϱ,δ with ϱ,δ∈[0,1] . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted L p spaces, L p w with 1p∞ and w∈A p , (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.

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About the Author

David Dos Santos Ferreira, Universite Paris 13, Villetaneuse, France.Wolfgang Staubach, Uppsala University, Sweden.

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Publisher
Amer Mathematical Society
Publication date
2014
Language
English
ISBN 10 
0821891197
ISBN 13 
9780821891193
Binding
Paperback
Number of pages
65